Hi,
As per the equations mentioned above, the function is a periodic one with a period of 4. You can refer to code snippet below to generate a periodic function:
x = @(t) t.*((t>=0)&(t<1))+(0.5+0.5.*cos(2*pi*t)).*((t>=1)&(t<2))+(3-t).*((t>=2)&(t<3))
duration = T;
t = 0:0.5:T; %Time interval is chosen as 0.5 in this case, user can change this value.
y = x(mod(t,4));%Period of 4
plot(t,y)
Hope this helps!
